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Hardcover Hodge Theory and Complex Algebraic Geometry I: Volume 1 Book

ISBN: 0521802601

ISBN13: 9780521802604

Hodge Theory and Complex Algebraic Geometry I: Volume 1

(Book #76 in the Cambridge Studies in Advanced Mathematics Series)

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Book Overview

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates...

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